# Suppose the velocity v of a motorboat coasting in water satisfies the differential equation dv/dt = k*v^2.?

Suppose the velocity v of a motorboat coasting in water satisfies the differential equation dv/dt = k*v^2. The initial speed of the motorboat is v(0) = 10 m/s, and v is decreasing at the rate of 1 m/s^2 when v=5 m/s. (a) How long does it take for the velocity of the boat to decrease to 1 m/s? (b) To (1/10) m/s? (c)...
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Suppose the velocity v of a motorboat coasting in water satisfies the differential equation dv/dt = k*v^2. The initial speed of the motorboat is v(0) = 10 m/s, and v is decreasing at the rate of 1 m/s^2 when v=5 m/s. (a) How long does it take for the velocity of the boat to decrease to 1 m/s? (b) To (1/10) m/s? (c) When does the boat come to a stop?

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